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Simplifying 2(3x + -5) + 3 = 5(x + -2) + 5 Reorder the terms: 2(-5 + 3x) + 3 = 5(x + -2) + 5 (-5 * 2 + 3x * 2) + 3 = 5(x + -2) + 5 (-10 + 6x) + 3 = 5(x + -2) + 5 Reorder the terms: -10 + 3 + 6x = 5(x + -2) + 5 Combine like terms: -10 + 3 = -7 -7 + 6x = 5(x + -2) + 5 Reorder the terms: -7 + 6x = 5(-2 + x) + 5 -7 + 6x = (-2 * 5 + x * 5) + 5 -7 + 6x = (-10 + 5x) + 5 Reorder the terms: -7 + 6x = -10 + 5 + 5x Combine like terms: -10 + 5 = -5 -7 + 6x = -5 + 5x Solving -7 + 6x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x -7 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 1x = -5 + 0 -7 + 1x = -5 Add '7' to each side of the equation. -7 + 7 + 1x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -5 + 7 1x = -5 + 7 Combine like terms: -5 + 7 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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